The height of a javelin after it has left the hand - id12335127, amandabarriksofficia

Question

Mathematics: The height of a javelin after it has left the hand of the thrower can be modeled by the function h = 3(4t-2)(-t + 4), where h is the height of the javelin and t is the time in seconds. How long is the javelin in the air?

amandabarriksofficia · Accepted Answer

We have been given the dimensions of the rectangular prism.

Lets say that the length, width, and height of the rectangular prism are:

Length = x+1

Width =x-1

Height

Volume of a rectangular prism is given by:

$length \times width\times height$

Plugging the values of length, width, and height, we get:

Total volume of the prism $= (x+1)\times(x-1)\times x$

=(x^2-1)x=x^3-x (we have used $(a+b)\times (a-b)=a^2-b^2$ )

So, the expression for the total volume of the prism is:

(x^3-x)

The height of a javelin after it has left the hand of the thrower can be modeled by the function h = 3(4t-2)(-t + 4), where h is the height of the
javelin and t is the time in seconds. How long is the javelin in the air?

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